Slope of y =-4x +10 is -4
And we know, the slope of line perpendicular to a given line is negative reciprocal of the given line
ie m2 = -1/m1
So the slope of perpendicular line is 1/4
Now using point-slope form we get
y-y1 = m2 (x-x1)
or y -2 = 1/4 (x-7)
or 4y -8 =x-7
or 4y = x+1
or y = 1/4*x + 1/4